Question

If x - 1/x = 1/2, find the value of 4x^2 + 4/x^2
Explain

Answer 1

$\underline {\bf HELLO \: \: DEAR,}$

$\bf x - 1/x = 2 \\ \\ \bf \: on\:\: squaring \:\:both \:\:side, \\ \\ \bf \: x^{2} + 1/x^{2} - 2x * 1/x = 1/4 \\ \\ \bf \: x^{2} + 1/x^{2} = 1/4 + 2 \\ \\ \bf \: x^{2} + 1/x^{2} = (1 + 8)/4 \\ \\ \bf \: 4x^{2} + 4/x^{2} = 9$

$\underline{\bf I \: \: HOPE \: \: ITS \: \: HELP \: \: YOU \: \: DEAR, \: \: THANKS}$